Sujet : Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)
De : wolfgang.mueckenheim (at) *nospam* tha.de (WM)
Groupes : sci.mathDate : 28. Nov 2024, 18:09:16
Autres entêtes
Organisation : A noiseless patient Spider
Message-ID : <via83s$jk72$2@dont-email.me>
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User-Agent : Mozilla Thunderbird
On 28.11.2024 17:45, joes wrote:
Am Thu, 28 Nov 2024 11:39:05 +0100 schrieb WM:
A simpler arguments is this: All endsegments are in a decreasing
sequence.
There is no decrease, they are all infinite.
Every endsegment has one number less than its predecessor.
That is called decrease.
Before the decrease has reached finite endsegments, all are
infinite and share an infinite contents from E(1) = ℕ on. They have not
yet had the chance to reduce their infinite subset below infinity.
All segments are infinite. Nothing can come "afterwards".
Then never the intersection is never empty.
Regards, WM
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